Illustrative Math Alignment: Grade 7 Unit 7

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is a collection of clip art images that show how to use tape diagrams to solve ratio and rate problems.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve one-step equations that include addition, subtraction, multiplication, or division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

This is part of a collection of math examples that show how to solve two-step equations that involve combinations of addition, subtraction, multiplication, and division.

Topic

Solving Equations

Description

This example demonstrates how to solve the two-step equation 2x + 4 = x + 10. The solution process involves subtracting 4 from both sides of the equation, then subtracting x from both sides to isolate the variable. Through these steps, we find that x = 6.

Solving two-step equations is a fundamental skill in algebra. These equations typically involve two operations to isolate the variable, such as addition/subtraction and multiplication/division. This collection of examples helps teach this topic by presenting a variety of equation types, allowing students to recognize patterns and develop problem-solving strategies.

Topic

Solving Equations

Description

This example demonstrates solving the equation 3(x - 2) = 15. The solution process involves first dividing both sides of the equation by 3, then adding 2 to both sides to isolate the variable. Through these steps, we find that x = 7.

Topic

Solving Equations

Description

This example demonstrates solving the equation 14(15x) = 280. The solution process involves dividing both sides of the equation by 14, then dividing by 15 to isolate the variable. Through these steps, we find that x = 1 1/3.

Topic

Solving Equations

Description

This example demonstrates solving the equation 12(x/5) = 144. The solution process involves dividing both sides of the equation by 12, then multiplying by 5 to isolate the variable. Through these steps, we find that x = 60.

Topic

Solving Equations

Description

This example demonstrates solving the equation (x + 4) / 5 = 12. The solution process involves multiplying both sides of the equation by 5, then subtracting 4 from both sides to isolate the variable. Through these steps, we find that x = 56.

Topic

Solving Equations

Description

This example demonstrates solving the equation (x - 4) / 5 = 12. The solution process involves multiplying both sides of the equation by 5, then adding 4 to both sides to isolate the variable. Through these steps, we find that x = 64.

Topic

Solving Equations

Description

This example demonstrates solving the equation (2/3)x = 50. The solution process involves multiplying both sides of the equation by 3, then dividing both sides by 2 to isolate the variable. Through these steps, we find that x = 75.

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation ( x / 4 ) / 5 = 30. The solution involves multiplying both sides by 5, then multiplying by 4 to isolate x. The final result is x = 600.

Solving two-step equations is a fundamental skill in algebra. This collection of examples helps teach this topic by presenting various equation formats, including fractions and negative numbers. By working through these diverse problems, students can develop a comprehensive understanding of the steps required to solve different types of two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = x + 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = 14.

Topic

Solving Equations

Description

This math example demonstrates the process of solving the equation 2x + ( -4 ) = x - 10. The solution involves subtracting ( -4 ) and x from both sides of the equation to isolate x. After performing these operations, we find that x = -6.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then dividing by 2 to isolate x. After performing these operations, we find that x = 6.

Topic

Solving Equations

Description

In this example, we solve the equation 2x + 4 = x - 10. The solution process involves subtracting 4 from both sides of the equation, then subtracting x from both sides. Through these steps, we find that x = -14.

Topic

Solving Equations

Description

This math example demonstrates how to solve the equation x / 2 + ( -4 ) = 8. The solution involves adding ( -4 ) to both sides and then multiplying by 2 to isolate x. After performing these operations, we find that x = 24.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 2x - (-3) = x + 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = 1. This example showcases the process of solving a two-step equation with negative numbers.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 2x - (-3) = x - 4. The solution involves adding -3 to both sides and then subtracting x from both sides to isolate the variable. The final result is x = -7. This example demonstrates how to handle negative numbers and subtraction in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 5x - (-7) = 18. The solution involves adding -7 to both sides and then dividing by 5 to isolate the variable x. The final result is x = 2 1/5 or 2.2. This example showcases how to handle negative numbers and fractions in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation x/2 - (-4) = 8. The solution involves adding -4 to both sides and then multiplying by 2 to isolate the variable x. The final result is x = 8. This example demonstrates how to handle fractions and negative numbers in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 3(x + (-2)) = 12. The solution involves first dividing both sides by 3 to isolate the expression x + (-2), then adding 2 to both sides to isolate x. The final result is x = 6. This example showcases how to handle parentheses and negative numbers in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 3(x - (-2)) = 15. The solution involves first dividing both sides by 3 to isolate the expression x - (-2), then subtracting 2 from both sides to isolate x. The final result is x = 3. This example demonstrates how to handle parentheses and double negatives in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation 14(-15x) = 280. The solution involves first dividing both sides by 14 to isolate the expression -15x, then dividing by -15 to isolate x. The final result is x = -1/3. This example showcases how to handle multiplication with negative numbers and fractions in two-step equations.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation 12(x/-5) = 144. The solution involves first dividing both sides by 12 to isolate the expression x/-5, then multiplying by 5 to isolate x. The final result is x = -60. This example demonstrates how to handle fractions and multiplication in two-step equations.

Topic

Solving Equations

Description

This math example demonstrates solving the equation (x + (-4)) / 5 = 12. The solution involves first multiplying both sides by 5 to isolate the expression x + (-4), then adding 4 to isolate x. The final result is x = 64. This example showcases how to handle fractions and negative numbers in two-step equations.

Topic

Solving Equations

Description

This example demonstrates solving the equation 2x + 4 = 8. The solution process involves subtracting 4 from both sides of the equation, then dividing both sides by 2. Through these steps, we find that x = 2.

Topic

Solving Equations

Description

This math example illustrates the process of solving the equation (x - (-4)) / 5 = 12. The solution involves first multiplying both sides by 5 to isolate the expression x - (-4), then subtracting -4 to isolate x. The final result is x = 56. This example demonstrates how to handle fractions and double negatives in two-step equations.